The main purpose of the research programme is constructing an unified (relational) theory of space-time and fundamental physical interactions, which deals with relations between events (elements). The mathematical basis of the research consists of the theory of binary systems of complex relations generalizing the Yu.S.Kulakov theory of physical structures and the theory of reference frames in General Relativity. The physical basis of the research programme consists of the following ideas:
- On the macroscopic (statistical) nature of the classical space-time.
- On the direct interparticle action (the Fokker-Feynman concept of action-at-a-distance).
- On the space-time multidimensionality (principles of the Kaluza-Klein geometric models of physical interactions).
According to the first idea, classical space-time perceptions are valid only for macroscopic objects and are invalid for objects and phenomena of the microworld. In this approach, usual space-time relations should be derived from an independent system of elementary concepts and laws appearing in the physics of the microworld as a result of interaction between the individual elementary particles when we consider large systems of the elementary particles.
The second idea corresponds to the action-at-a-distance concept, which is alternative to the conventional field theory. In such an approach, the concept of a field is excluded from the primary concepts because it has meaning only in the presence of the classical space-time. Without the last, it is possible to use only direct relations between interacting particles.
Multidimensional geometric models of physical interactions are a source of many ideas and methods used for a concrete realization of this research programme. In particular, the multidimensional Kaluza-Klein theories include the very important idea on the unity of the space-time theory and the theory of physical interactions. The idea on manifestation of physical interactions via characteristics of higher dimensions (or their prototypes) is meaningful as well as methods of reducing the general theories to manifolds of lower dimensions.
The research programme is aimed at solving the following problems:
- Obtaining (deducing) the classical space-time from a system of more elementary concepts and laws (binary systems of complex relations) and, thus, explicating its properties such as dimension, signature, a quadratic metric, partial ordering, etc.
- Unification of the fundamental physical interactions: gravitational, electromagnetic, weak, and strong.
- Combining the principles of the basic theories of the modern physics, namely general theory of relativity and quantum theory.